AHP改进模型在作物灌水制度综合效益评价中的应用研究

Case analysis on comprehensive benefit of irrigation system of corps by improved model of AHP and comparison with its antetype

从两方面对传统的层次分析法(简称AHP法)进行了改进,一是无量纲化中基准值的选取,由原模型(xij-xminj)/(xmaxj-xminj)中采用的某指标测量值的极值改变为新模型(xij-x0j)/x0j中通过试验和资料分析确定的域值x0j;二是引入边际效应概念,即认为一个评价指标值数量上的等值变化(增加或减少)对其上一级指标的影响不一定是等价的,而是存在着边际效应的增大或减小,由此将原模型直线型隶属函数P(xij)=1+4×(xij-xminj)/(xmaxj-xminj)改变为P(xij)=(xij-x0j)/x0j2或P(xij)=(x0j-xij)/x0j的抛物线方程。对改动前后的两种模型用于冬小麦不同灌水制度的综合效益评价,比较分析结果表明新模型的综合效益评价结果摆脱了原模型纯粹数学意义上的相对比较特性,能够更准确的反映出各单项指标效益和综合效益的真实值,从而对生产实践更具有指导意义。

Two parts of analytic hierarchy process（ AHP） were improved. One is that the parameters ＂xmin^jand Xmax^j＂of the original model（ xij - xminj ）/（ Xmin^j - Xmin^j ） are substituted by the parameter＂ x0^j ＂ of a new model （ xij - xo^j ）/xo^j, which is obtained from an experiment. The other change is that the linear formula ＂P （xij） = 1 ＋ 4 × （xij - Xmin^j ）/（ Xmax^j - xmin^j ）＂is replaced by a parabola formula ＂P （ xij ） = [ （ xij - xo^j ）/xo^j ] n ＂. The comprehensive benefits of irrigation systems of wheat were evaluated with two models, and the results are different between two models. The results of the new modd break away from the relative comparison of pure mathematics in the original model and can reflect the true value both of the individual and comprehensive benefit more accurately. So the results of the new model are more beneficial and practical to production.